Graph maps with zero topological entropy and sequence entropy pairs
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American Mathematical Society
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Abstract
We show that graph map with zero topological entropy is Li-Yorke chaotic if and only if it has an NS-pair (a pair of non-separable points containing in a same solenoidal omega-limit set), and a non-diagonal pair is an NS-pair if and only if it is an IN-pair if and only if it is an IT-pair. This completes characterization of zero topological sequence entropy for graph maps.
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graph map, topological entropy, topological sequence entropy, tameness, Li-Yorke chaos, non-separable points, IN-pair, IT-pair
Citation
Proceedings of the American Mathematical Society. 2021, vol. 149, issue 11, p. 4757-4770.